摘要

Under a positive curvature and a finite dimension in terms of the Bakry-Emery tensor on a Riemannian manifold, the Bonnet-Myers type diameter bound and the rigidity theorem are extended. The corresponding second order generator need not be symmetrizable. The proof is based on the Laplacian comparison theorem and stochastic analysis of radial processes.

  • 出版日期2013-3

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